Compound of six square antiprisms

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Compound of six square antiprisms
Rank3
TypeUniform
Notation
Bowers style acronymGidsac
Elements
Components6 square antiprisms
Faces48 triangles, 12 squares as 6 stellated octagons
Edges48+48
Vertices48
Vertex figureIsosceles trapezoid, edge length 1, 1, 1, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles3–3:
 4–3:
Central density6
Number of external pieces336
Level of complexity52
Related polytopes
ArmySemi-uniform Girco, edge lengths (ditetragon-rectangle), (ditetragon-ditrigon), (ditrigon-rectangle)
RegimentGidsac
DualCompound of six square antitegums
ConjugateCompound of six square antiprisms
Abstract & topological properties
Flag count384
OrientableYes
Properties
SymmetryB3, order 48
Flag orbits8
ConvexNo
NatureTame

The great disnub cube, gidsac, or compound of six square antiprisms is a uniform polyhedron compound. It consists of 48 triangles and 12 squares (which pair up into 6 stellated octagons due to lying in the same plane), with one square and three triangles joining at a vertex.

It can be formed by combining the two chiral forms of the great snub cube.

Its quotient prismatic equivalent is the square antiprismatic hexateroorthowedge, which is eight-dimensional.

Vertex coordinates[edit | edit source]

The vertices of a great disnub cube of edge length 1 are given by all permutations of:

  • .

External links[edit | edit source]